Step-by-step explanation:
vector AB(3-(-6); 5-7)
vector AB(9;-2)
AB= 
= 
M is the midpoint of AB
we have B(-5;10) and M(1;7)
let A(x;y)
(x-5)/2 = 1 ⇒ x-5 = 2⇒ x = 7
(10=y)/2 = 7⇒ 10+y = 14 ⇒y= 4
so : A(7;4)
the center of the circle is the midponit of the line joining both ends of the diameter
let A(x;y) be the other end
(-2+x)/2 = 2 ⇒ -2+x = 4⇒ x= 6
(5=y) = -1 ⇒ 5+y = -2 ⇒ y= -7
so the coordinates of the other end are (6; -7)
A,B and C are collinear such as AB=BC so b is the midpoint of AC
(-5+1)/2 = y ⇒ y = -4/2 ⇒ y = -2
((-3=x)/2 = 7 ⇒ -3+x = 14 ⇒ x = 17
so x= 17 and y = -2
Answer:
28 different ways
Step-by-step explanation:
This is a combination question. Combination has to do with selection.
Total number of element in the set = 8
Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}
Total number divisible by 6 or 8 is 6
The number of ways we can choose 6 items from 8 is expressed as;
8C6 = 8!/(8-6)!6!
8C6 = 8!/(2)!6!
8C6 = 8*7*6!/2!6!
8C6 = 8*7/2
8C6 = 56/2
8C6 = 28 ways
Hence there are 28 different ways
# of apples
3/8(a)=# of oranges
p=# of pears
3/4(p)=# of oranges
(3/8)a=(3/4)p
(3/8)/(3/4)=p/a
(3/8)(6/8)=p/a
3/6=p/a
1/2=p/a
the ratios of pears to apples is 1 to 2
for every 1 pear there are 2 apples
if there are 4 pears there are 8 apples
there are 8 apples
(3/8)(8)=3 oranges
there are 4 pears
(3/4)(4)=3 oranges again
8 apples, 3 oranges, 4 pears
15 pieces of fruit and 3 are oranges
ratio is 3/15=1/5
4/5/2015 | Arthur D.
Answer:
infinitely many solutions
Step-by-step explanation:
Let's eliminate the fractional coefficient in the first equation by multiplying that equation by 4:
4y = 6x - 4
The second equation can be rewritten as 4y = 6x - 4, so the two equations are actually identical. They have infinitely many solutions.
